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11467603968 = 21431811289
BaseRepresentation
bin10101010111000010…
…11100000000000000
31002121012022122021220
422223201130000000
5141441201311333
65133530315040
7554115011502
oct125341340000
932535278256
1011467603968
114955188657
122280588a80
131109a78ca2
147ab031d72
15471b588b3
hex2ab85c000

11467603968 has 120 divisors (see below), whose sum is σ = 30772145040. Its totient is φ = 3798466560.

The previous prime is 11467603967. The next prime is 11467603981. The reversal of 11467603968 is 86930676411.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 11467603968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11467603967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8895868 + ... + 8897156.

It is an arithmetic number, because the mean of its divisors is an integer number (256434542).

Almost surely, 211467603968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11467603968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15386072520).

11467603968 is an abundant number, since it is smaller than the sum of its proper divisors (19304541072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11467603968 is an equidigital number, since it uses as much as digits as its factorization.

11467603968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 11467603968 in words is "eleven billion, four hundred sixty-seven million, six hundred three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 181 192 256 362 384 512 543 724 768 1024 1086 1289 1448 1536 2048 2172 2578 2896 3072 3867 4096 4344 5156 5792 6144 7734 8192 8688 10312 11584 12288 15468 16384 17376 20624 23168 24576 30936 34752 41248 46336 49152 61872 69504 82496 92672 123744 139008 164992 185344 233309 247488 278016 329984 370688 466618 494976 556032 659968 699927 741376 933236 989952 1112064 1319936 1399854 1482752 1866472 1979904 2224128 2639872 2799708 2965504 3732944 3959808 4448256 5279744 5599416 7465888 7919616 8896512 10559488 11198832 14931776 15839232 21118976 22397664 29863552 31678464 44795328 59727104 63356928 89590656 119454208 179181312 238908416 358362624 477816832 716725248 955633664 1433450496 1911267328 2866900992 3822534656 5733801984 11467603968